Subjects algebra

Seesaw Length 534603

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1. **State the problem:** We need to find the length of the seesaw. The pivot (midpoint) is 13.5 feet from the swing set, and the swing set is 8 feet from the edge of the seesaw when the seesaw is level. 2. **Understand the problem:** The pivot is the midpoint of the seesaw, so the distance from the pivot to each end of the seesaw is equal. 3. **Set up the equation:** Let the length of the seesaw be $L$. Since the pivot is the midpoint, each half is $\frac{L}{2}$. 4. **Use the given distances:** The distance from the pivot to the swing set is 13.5 feet, and the distance from the swing set to the edge of the seesaw is 8 feet. So, the total half-length is the sum of these two distances: $$\frac{L}{2} = 13.5 + 8$$ 5. **Calculate the half-length:** $$\frac{L}{2} = 21.5$$ 6. **Solve for $L$:** $$L = 2 \times 21.5 = 43$$ 7. **Answer:** The length of the seesaw is 43 feet.